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Finding the Third Proportional to 268,635,500 and 578,369,101

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Solution

The third proportional to 268,635,500 and 578,369,101 is: 1,245,221,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,635,500 : 578,369,101 = 578,369,101 : x
  2. Step 2: Convert to fraction form
    268,635,500/578,369,101 = 578,369,101/x
  3. Step 3: Cross multiply
    268,635,500x = 578,369,101 × 578,369,101
  4. Step 4: Simplify right side
    268,635,500x = 334,510,816,991,548,224
  5. Step 5: Solve for x
    x = 334,510,816,991,548,224/268,635,500
  6. Step 6: Final answer
    x = 1,245,221,934.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.